Solution to the Water Jug Problem
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RAW
Open Knowledge in Math and Machine Learning, Robotics and Hardware things as well as intelligent web systems
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Find the Parity of the Sum of floor(n/k) from k=1 to n
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SSH Tunnel Cheat Sheet
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Arduino PWM to 0-10 V Analog Signal Conversion for CNC and Spindle Control
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Binary Search (done right)
Binary search is famous for its simplicity and for how often it is implemented incorrectly. A correct implementation follows from a precise specification, clear boundary semantics, explicit loop invariants, and a proof of termination. Special care is required for midpoint computation in fixed-width integer arithmetic to avoid overflow and subtle out-of-bounds failures.
Kinematics and Dynamics of a Rolling Shopping Cart
First-principles derivation of shopping-cart kinematics generalized to many wheeled robots
Introduction to Bloomfilters
Bloomfilters are probabilistic data structures for efficient set membership queries. This article derives the false positive probability from first principles, shows how to select the optimal number of hash functions, and examines the mathematical behavior of practical hashing algorithms. It also analyzes the effects of weak hashing on probe distributions and presents methods to mitigate them in…
Resistor Calculator – Calculate Values, Color Codes, and Combinations
The Resistor Calculator provides practical tools to determine resistor values, interpret resistor color codes, and calculate series or parallel resistor networks. Whether you are checking a single component or designing a circuit, the calculator helps you obtain precise values and clear results.
Inverse Kinematics of a 3-DOF Spider Robot Leg
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